Math 131/02 - Calculus I - Course Outline (Spring, 2008)

This is a tentative outline for the course and will be updated weekly.

 

Hour Exams (all are on Tuesday):

 

February 1, February 22, March 14, and April 11
 

Date

Topic/Section

Jan 9 

 

The Concept of Limit/(1.2)

 

Lecture Notes    Print a copy   

  

Homework 1    Solutions

 

Jan 11

 

The Concept of Limit/(1.2)

 

Homework 2    Solutions

 

 

 

Jan 14

 

Computation of Limit/(1.3)

 

Lecture Notes    Print a copy 

 

Homework 3    Solutions  

Jan 15

 

Computation of Limit/(1.3)

  

Jan 16

 

Continuity and its Consequences/(1.4)

 

Quiz 1 (a)(b)    Solutions 

 

Jan 18

 

Continuity and its Consequences/(1.4)

 

Lecture Notes    Print a copy 

 

Homework 4         Solutions 

 

 

 

Jan 22

 

Continuity/(1.4) and Limits Involving Infinity/(1.5)

 

Homework 5      Solutions

 

Jan 23

 

Limits Involving Infinity/(1.5)

 

 Lecture Notes    Print a copy 

 

Quiz 2 (a)(b)    Solutions 

 

Jan 25

Limits Involving Infinity/(1.5)

 

Homework 6     Solutions

 

 

 

Jan 28

 

Tangent Lines and Velocity/(2.1)

 

Lecture Notes    Print a copy 

Jan 29

 

Tangent Lines and Velocity/(2.1)

 

Quiz 2 (a)(b)    Solutions 

 

Homework 7            Solutions

 

Jan 30

Review for Hour Exam 1

 

Review notes

Feb 1

 

Hour Exam 1 (a)  (b)    Solutions  

 

 

 

Feb 4

 

The Derivatives/(2.2)  

 

Lecture notes              Print a copy

 

Feb 5

 

The Derivatives/(2.2)  

 

Homework 8      Solutions

 

Feb 6

 

Computation of Derivatives: Power Rule/(2.3)

 

Lecture Notes         Print a copy

 

Feb 8

 

Computation of Derivatives: Product Rule and Quotient/(2.4)

 

Lecture Notes         Print a copy

 

Homework 9       Solutions

 

Quiz 4   (a)      (b)       Solutions

 

 

 

Feb 11

 

The Chain Rule/(2.5)

 

Feb 12

 

The Chain Rule/(2.5)

 

Lecture Notes      Print a copy

 

Homework 10

 

Feb 13

 

Derivatives of Trigonometric Functions/(2.6)

 

Lecture Notes      Print a copy

 

Quiz 5  (a)    (b)          Solutions

 

 

 

Feb 15

 

Derivatives of Exponential and Logarithmic Functions/(2.7)

 

Lecture Notes      Print a copy

 

Homework 11    Solutions

 

 

 

Feb 18

 

Differentiations (2.3)-(2.7)

 

Feb 19 

 

Review for Hour Exam 2

 

Review Materials

 

Feb 20

 

Implicit Differentiation/(2.8)

 

Lecture Notes      Print a copy

 

Quiz 6  (a)    (b)          Solutions

 

Feb 22 

 

Hour Exam 2

 

 

 

Feb 25  

 

Derivatives of Inverse Trigonometric Functions/(0.4)(2.8)

Lecture Notes    Print a copy

Homework 12       Solutions

Feb 26 

 

Derivatives of Inverse Trigonometric Functions/(0.4)(2.8)

  

Feb 27 

 

Related Rates/(3.8)

 

Lecture Notes    Print a copy

Feb 29 

 

The Mean-Value Theorem/(2.9)

 

Homework 13       Solutions

 

 

 

Mar 3

 

The Mean-Value Theorem/(2.9)

 

Lecture Notes   Print a copy

 

Mar 4

 

Linear Approximation/(3.1)

 

Lecture Notes   Print a copy

 

Quiz 7 (a) (b)   Solutions

 

Homework 14     Solutions

 

Mar 5

 

Critical Numbers, and Maximum and Minimum Values/(3.3)

 

Lecture Notes   Print a copy

 

Homework 15        Solutions 

 

Mar 7

 

Increasing and Decreasing Functions/(3.4)

 

Lecture Notes        Print a copy

    

 

 

Mar 10

 

Concavity /(3.5)

 

Lecture Notes      Print a copy

 

Mar 11

 

Concavity /(3.5)

 

Mar 12

 

Review for Hour Exam 3

 

Review materials

 

Mar 14

Hour Exam 3 

 

 

Mar 17

 

Concavity /(3.5)

 

Lecture Notes     Print a copy

 

Homework 16 - Solutions

 

Mar 18

 

Optimizations /(3.7)

 

Lecture Notes     Print a copy

 

Homework 17- Solutions (16)-b    

 

 

Mar 19

 

Antiderivatives/(4.1)

 

Lecture Notes  Print a copy

 

Mar 21

 

Antiderivatives/(4.1)

 

Homework 18    Solutions

 

 

 

Mar 24-28

Have a wonderful spring break!

 

 

Mar 31

 

Antiderivatives/(4.1)

 

Lecture Notes     Print a copy

 

Apr 1

 

Sums and Sigma Notations/(4.2)

 

Lecture Notes     Print a copy

 

Apr 2

 

Sums and Sigma Notations/(4.2)

 

Apr 4

 

Area/(4.3)

 

Lecture Notes     Print a copy

 

Homework 19    Solutions

 

 

 

Apr 7

 

Definite Integrals/(4.4) 

 

Lecture Notes     Print a copy

 

Apr 8

 

Definite Integrals/(4.4) 

 

Homework 20    Solutions

 

Quiz 11 - Solutions

 

Apr 9

 

Review for Hour Exam 4

 

Apr 11

 

Review for Hour Exam 4

 

Quiz 12 - Solutions

 

 

 

Apr 14

 

Hour Exam 4

 

Exam

 

Apr 15

 

Fundamental Theorem of Calculus/(4.5)

 

Lecture Notes     Print a copy

 

Homework 21      Solutions

Apr 16

 

Integration by Substitution (4.6)

 

Lecture Notes     Print a copy

 

Apr 18

Integration by Substitution (4.6)

 

Homework 22      Solutions

 

 

Apr 21

Review for the Final Exam

 

Review

Apr 22

Review for the Final Exam

 

 

Apr 23

Final Exam:
1:00-4:00pm

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